According to my view, -- raw intelligence would be measured in bits
-- efficient intelligence would ultimately be measured in terms such as bits/ (4D volume of a region of spacetime) As noted the Bekenstein bound thus places an upper limit on efficient intelligence according to current physics. This upper limit rules out wildly inefficient AI approaches such as AIXI. -- Ben G On 5/18/07, John G. Rose <[EMAIL PROTECTED]> wrote:
Pretty good calculations :) Some thoughts on the topic of units and equations, some may be obvious or redundant - If something was extremely intelligent it would have an exact copy, bit for bit, of the whole universe in its head. Maybe that's saying that the universe is 100% intelligent because the universe is itself. Having infinite access time (tachyon?) to each of these bits or any size subset including multiples of the whole, would be, to say the least, an intelligence enabler. But this would be impossible within the universe due to thermodynamic and physical limitations. All intelligent entities seem to have some sort of partial representation of their environment in their memory (KR). There is time-backwards and time-forwards management of this representation as the entities operate on their environment - memory and prediction - that cover intelligent entity specific time-spans. The entity it seems flips bits and changes complexity and/or entropy (both Shannon and thermodynamic entropy) in its environment. There is a quantum element to the universe bit set. Particle/wave duality changes things at the quantum level. Quantum intelligence is either a component of intelligence or a whole other type of intelligence. Intelligence equations could be both digital and analog. Intelligent things have more order and systems structure. Complexity/chaos environmental change capability needs to be in the equation - is this some sort of "potential energy" like intelligence"? Representational accuracy in the entity's memory as well as predictive and look-back ability and time-span slopes (simulation/extrapolation) and access time/bandwidth may need to be equation factors too. Environmental data I/O sampling rate, quality and spectrum coverage may also be variables in describing an entity's intelligence. John > From: Matt Mahoney [mailto:[EMAIL PROTECTED] > > If we measure intelligence in bits, then we can place limits on what can > be > achieved. Landauer's principle says that each irreversible bit > operation > (such as a bit assignment) requires kT ln 2 energy, where k is > Boltzmann's > constant and T is the temperature. > http://en.wikipedia.org/wiki/Landauer's_Principle > > At the temperature of the universe, 2.725 K, > http://en.wikipedia.org/wiki/Cosmic_microwave_background_radiation > each bit operation requires 2.6e-23 Joules. > > The mass of the universe is the subject of debate, > http://hypertextbook.com/facts/2006/KristineMcPherson.shtml > > so let's assume 25% of critical density, which according to > http://www.astronomynotes.com/cosmolgy/s9.htm is 3H^2/(8 pi G) = 1.06e- > 26 > Kg/m^3 (where H is Hubble's constant and G is the gravitational > constant). > Astronomers mostly agree that the universe is about 4% visible matter, > 21% > ordinary dark matter and 75% "dark energy" responsible for the outward > acceleration of the galaxies. (I think that dark energy is actually > ordinary > gravity. An observer falling into a black hole will observe nearby > objects > appear to accelerate away). So (returning to the big bang model) for a > sphere > of radius 13.7 billion lightyears, this gives a mass of 7.5e52 Kg. > > If we convert this mass to energy by E = mc^2 we have 6.75e69 J. This > gives > us 2.6e92 bit operations before the universe reaches thermodynamic > equilibrium. > > We must use them wisely. ----- This list is sponsored by AGIRI: http://www.agiri.org/email To unsubscribe or change your options, please go to: http://v2.listbox.com/member/?&;
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